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Finding the Fourth Proportional to 3,520.22, 5,278.37 and 1,441.68

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Solution

The fourth proportional to 3,520.22, 5,278.37 and 1,441.68 is: 2,161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.22 : 5,278.37 = 1,441.68 : x
  2. Step 2: Convert to fraction form
    3,520.22/5,278.37 = 1,441.68/x
  3. Step 3: Cross multiply
    3,520.22x = 5,278.37 × 1,441.68
  4. Step 4: Simplify right side
    3,520.22x = 7,609,720.46
  5. Step 5: Solve for x
    x = 7,609,720.46/3,520.22
  6. Step 6: Final answer
    x = 2,161.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.